Home
Class 10
MATHS
The point P (2,-4) is reflected about th...

The point P (2,-4) is reflected about the line x = 0 to get the image Q. Find the co-ordinates of Q.

Text Solution

AI Generated Solution

The correct Answer is:
To find the coordinates of the image point Q when point P (2, -4) is reflected about the line x = 0 (the y-axis), we can follow these steps: ### Step 1: Identify the coordinates of point P The coordinates of point P are given as (2, -4). ### Step 2: Understand the reflection process When a point is reflected across the line x = 0 (the y-axis), the y-coordinate remains the same, while the x-coordinate changes its sign. ### Step 3: Apply the reflection rule For point P (2, -4): - The x-coordinate is 2. When reflected across the y-axis, it becomes -2. - The y-coordinate remains -4. ### Step 4: Write the coordinates of point Q Thus, the coordinates of point Q, the image of point P after reflection, are (-2, -4). ### Final Answer The coordinates of point Q are (-2, -4). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The pointP(2,-4) is reflected about the line y = 0 to get the image R. Find the co-ordinates of R.

The point P (2, -4) is reflected about the line x = 0 to get the image Q. The point Q is reflected about the line y = 0 to get the image R. Find the area of figure PQR.

The point P (5, 3) was reflected in the origin to get the image P'. Write down the co-ordinates of P'

A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.

The point A(3, - 5) is reflected in the point P (-4, 3) as point A'. Find the co-ordinates of point A'.

The point P (5, 3) was reflected in the origin to get the image P'. If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.

The point P (5, 3) was reflected in the origin to get the image P'. If M is the foot of the perpendicular from P to the x - axis , find the co-ordinates of M.

A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5). Find the co-ordinates of the image of P under reflection in the y-axis.

A point P is reflected in the x-axis. Co-ordinates of its image are (-4, 5). Find the co-ordinates of P.

A point P is reflected in the origin. Co-ordinates of its image are (-2, 7). Find the co-ordinates of the image of P under reflection in the x-axis.